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代数运算的
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  algebraic operations
     In this paper,we introduce the notion of generalized fuzzy number,and discuss the convergences of p mean symmetric difference metric d Δp (See [3]) about algebraic operations on generalized on generalized fuzzy number space E  .
     引入了广义 Fuzzy数的概念 ,讨论了 p-平均对称差度量 dΔp (参见 [3])在广义 Fuzzy数空间 E* 上关于代数运算的收敛问题。
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     The Convergences of p-mean Symmetric Difference Metric about Algebraic Operations
     p-平均对称度量关于代数运算的收敛问题
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     In this paper,a simplified method is presented to translate nested SQL queries to algebraic operations in relational databases This method makes the SQL statements of this kind of queries concise and easy to understand,and also avoids too many nests in SQL expressions?
     本文提出一种将关系数据库的一类嵌套SQL查询转换为代数运算的一种简化方法 ,该方法使这类查询的SQL语句简洁易懂 ,避免了SQL语句的多层嵌套
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     Some properties for Ben-Tal's generalized algebraic operations are studied, (h, φ)-generalized invex functions are introduced, some properties of which are discussed, the sufficient condition is given for (h, φ)-generalized invex semi-infinite multiobjective programming to attain its efficient solution (or weakly efficient solution) and the Lagrangian duality theory of (h,φ)-generalized invex multiobjective programming are established.
     研究了Ben-Tal广义代数运算的若干性质,引进了(h,φ)-不变广义凸函数的概念,讨论了(h,φ)-不变广义凸函数的若干性质,给出了(h,φ)-不变广义凸半无限多目标规划取得有效解(或弱有效解)的充分条件,建立了(h,φ)-不变广义凸多目标规划的Lagrange对偶理论。
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  “代数运算的”译为未确定词的双语例句
     Distribution of operation in BCK algebras with condition(S)
     具有条件(S)的BCK-代数运算的分配性
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     Arithmetical Computation Via DNA
     代数运算的DNA实现
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     Definitions of(φ,γ)-convex function and(φ,γ)-Subdifferential are given,someproperties about(φ,γ)-convex functions and(φ,γ)-Subdifferential are discussed.
     定义了基于Ben-T al广义代数运算的(,φγ)-凸函数,(φ,γ)-次微分,进而获得了关于(,φγ)-凸函数及(φ,γ)-次微分的一些分析性质. 讨论了(φ,γ)-凸函数的等价条件.
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     Matrix model for discrete event dynamic simulation (DEDS) is a hybrid system with logical and algebraic components.
     离散事件动态系统(DEDS)矩阵模型是一种逻辑运算与代数运算的混合系统。
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     This paper,by studying geometric representation of one algebraic result and establishment of complex projective plane model,the perfect unity of algebraic operational accurate result with intuitive representation of geometric graph has been attained.
     通过研究一个代数结果的几何图形表示,完成了复射影平面模型的构建,从而达到代数运算的准确结果和几何图形直观表示的完美统一.
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     Arithmetical Computation Via DNA
     代数运算的DNA实现
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     The Uniqueness of * Operation in Real C~*-Algebras
     实C~*-代数中*运算的唯一性
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     The Symplectic Algebra
     辛代数
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     FG-algebra
     FG-代数
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     Studies on Simulation Algorithms
     仿真器运算的研究
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  algebraic operations
Bases consisting of two algebraic operations, a fixed set of functions, and functions from a given class are studied.
      
A system of algebraic operations over switchings is defined.
      
The introduction of the electromagnetic interaction is analized; the usual method leads to compatible algebraic operations even for spin-1 particles.
      
We emphasize the role ternary and higher order algebraic operations and mathematical structures related to them play in passing from Hamilton's to Nambu's dynamical picture.
      
We present a multiscale editor which enables Boolean operations on this domain decomposition and simply algebraic operations on the basis functions.
      
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The main point of the method proposed in this paper is that the form of the transfer function of the equivalent feedback compensation is specified at the outset. The form of the transfer function is specified with due consideration to stability, transient performance and possibility of realization. According to either the required open-loop or closed-loop transfer function the parameters of the compensating networks can he calculated easily.

本文所提方法的特点是等值并联校正环节的传递函数预先予以规定。规定传递函数时考虑了稳定性,品质以及实现的可能性。根据希望的开环传递函数或闭环传递函数,用简单的代数运算即可求得校正纲络的参数。

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钝体头部与后体相接时,往往要出现角点,如果头部的钝度足够大,则在轴对称绕流情况下,音速点即在此角点处。目前求解此种音速点在角点处的钝体头部绕流的直接问题,只有积分关系式法才较精确,但该法须对沿激波层积分得的近似常微分方程组进行数值解,而且所给的二点边界条件中的一点,须按另一点的边界件条用逐步逼近法确定得,整个求解过程很繁琐且费时,而且在角点隣域进行数值积分时困难很大,见文献[7,8]。 鉴于此种情况,本文提出一种简易而又能具有数值解法精确度的实用计算方法,它系以积分关系式法的一级近似常微分方程组为基础,将头部激波用多项式来逼近,利用通过激波的气体貭量守恒关系式,激波的几何关系式以及物面驻点与音速点处的己知条件,直接确定得这种有角点钝体在高超音速轴对称绕流情况下,头部脱体激波的位置,形状以及头部上的压力、速度与速度梯度的分布。在求解过程中全部采用简单的数学分析与代数运算方法,方便且省时。 本文方法适用于任意形状的头部。文中对平头钝体进行了详细计算,从该算例中可见按本文方法所计算得的激波位置系位于一,二级近似的数值解之间,而所得的压力分布则要较一、二级近似的数值解为佳而更接近于实验值。

Let λ0 be a real number, X be a vector, then the numbers in the form of λ0+λ are referred to as hypercomplex numbers or quaternions. This paper contains two parts:1.Algebraic operations of quaternion are defined by utilizing the knowledge in vector algebra and the fundamental properties of algebra of quaternions are derived.2.Rotation of a rigid body about one fixed point is described in algebra of quaternions.

设λ_0为实数,λ为矢量,形如λ_0+λ的数称为超复数或四元数。本文包含两个部分: 1.用矢量代数的知识定义四元数的代数运算,导出四元数代数的基本性质; 2.用四元数描述刚体绕固定点的转动。

 
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